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Finding the Fourth Proportional to 102,443, 141,360.96 and 57,116.68

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Solution

The fourth proportional to 102,443, 141,360.96 and 57,116.68 is: 78,815.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,443 : 141,360.96 = 57,116.68 : x
  2. Step 2: Convert to fraction form
    102,443/141,360.96 = 57,116.68/x
  3. Step 3: Cross multiply
    102,443x = 141,360.96 × 57,116.68
  4. Step 4: Simplify right side
    102,443x = 8,074,068,716.81
  5. Step 5: Solve for x
    x = 8,074,068,716.81/102,443
  6. Step 6: Final answer
    x = 78,815.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.